共查询到20条相似文献,搜索用时 31 毫秒
1.
We consider nonlinear evolution partial differential equations and inequalities. For the solutions of the Cauchy problem for
such equations and inequalities, we establish conditions for finite time blow-up and derive an estimate for the blow-up time. 相似文献
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Tadeusz Jankowski 《Journal of Mathematical Analysis and Applications》2005,304(2):490-503
We investigate the existence of solutions for advanced differential equations with nonlinear boundary conditions. Sufficient conditions when the problem has extremal solutions or a unique solution are formulated. Linear advanced differential inequalities are also discussed. 相似文献
3.
Jurang Yan 《Journal of Mathematical Analysis and Applications》2002,265(2):332-342
The oscillatory and asymptotic behavior of first-order nonlinear delay impulsive differential equations and inequalities is studied. Some new sharp sufficient conditions for oscillation and nonoscillation of solutions of the equations and inequalities are obtained. Many known results are improved. In particular, the conditions are necessary and sufficient if the equations and inequalities are autonomous. 相似文献
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We report on some recent common research of the authors, adding a few new results on interpolation inequalities for nonnegative viscosity solutions of elliptic nonlinear partial differential equations. 相似文献
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研究一类具高阶Laplace算子的高阶脉冲非线性中立型偏泛函微分方程的强迫振动性,利用Green公式和微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型微分不等式的问题,获得了这类方程在三类不同边值条件下所有解强迫振动的若干充分条件. 相似文献
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通过建立几个微分不等式将经典的微分方程零点比较定理推广到二阶非线性微分方程,得到若干新的结论. 相似文献
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《Applied Mathematics Letters》2007,20(7):824-828
We gain solvability of a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities and fixed point methods. In particular, maximum principles are not employed. 相似文献
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Fozi M Dannan 《Journal of Mathematical Analysis and Applications》1985,108(1):151-164
Several integral inequalities similar to Gronwall-Bellmann-Bihari inequalities are obtained. These inequalities are used to discuss the asymptotic behavior of certain second order nonlinear differential equations. 相似文献
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Krzysztof A. Topolski 《Acta Mathematica Hungarica》2010,129(3):277-296
We consider the nonlinear Cauchy problem for second order differential-functional equations of parabolic type, and present
two existence theorems: in the class of bounded and in the class of unbounded viscosity solutions. These are based on differential
inequalities and on the contraction method. The functional dependence in the equation is of Hale type. Our results cover equations
with retarded and deviated argument, and differential-integral problems. 相似文献
12.
考虑了一类带强迫项的脉冲时滞抛物方程组,利用脉冲时滞微分不等式,获得了该类方程组的解强迫振动的若干充分判据. 相似文献
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非线性脉冲时滞抛物型偏微分方程的强迫振动性 总被引:8,自引:0,他引:8
考虑一类具强迫项的非线性脉冲时滞抛物型偏微分方程,利用脉冲时滞微分不等式,获得了该类方程的解强迫振动的若干充分判据。 相似文献
14.
Ivanka M. Stamova 《Journal of Mathematical Analysis and Applications》2007,325(1):612-623
This paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations. The obtained results are based on the method of vector Lyapunov functions and on differential inequalities for piecewise continuous functions. Examples are given to illustrate our results. 相似文献
15.
Some new nonlinear integral inequalities that involve the maximum of the unknown scalar function of one variable are solved. The inequalities considered are generalizations of a classical nonlinear integral inequality of Bihari. The importance of these integral inequalities is defined by their wide applications in qualitative investigations of differential equations with “maxima”, which is illustrated by some direct applications. 相似文献
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In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient. 相似文献
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研究一类多滞量非线性双曲型偏泛函微分方程解的振动性,借助广义Riccati变换和微分不等式技巧,获得了该类方程振动的若干新的充分条件,同时也给出了实际应用的例子. 相似文献
18.
二阶非线性微分方程解的Sturm比较定理 总被引:4,自引:1,他引:3
庄容坤 《高校应用数学学报(A辑)》2003,18(2):133-138
通过几个微分不等式建立了一类非线性微分方程解的Sturm比较定理,推广了一些经典的结论。 相似文献
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Murat Ad?var Elvan Ak?n Bohner 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7519-7531
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that besides generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalities, which are the most important particular cases of dynamic inequalities on time scales. 相似文献